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Finding the Fourth Proportional to 56,454.60, 77,917.50 and 32,577.96

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Solution

The fourth proportional to 56,454.60, 77,917.50 and 32,577.96 is: 44,963.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,454.60 : 77,917.50 = 32,577.96 : x
  2. Step 2: Convert to fraction form
    56,454.60/77,917.50 = 32,577.96/x
  3. Step 3: Cross multiply
    56,454.60x = 77,917.50 × 32,577.96
  4. Step 4: Simplify right side
    56,454.60x = 2,538,393,198.30
  5. Step 5: Solve for x
    x = 2,538,393,198.30/56,454.60
  6. Step 6: Final answer
    x = 44,963.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.